CALCULATION SHEET Sheet No: Calculation !:-
MADHU KUMAR
Chec"e# $! :
%ro&ect Na'e.:-
NTPC - RAMAGUNDAM
%ro&ect No.:
Dra(ing No. :-
TP37
Date :
Dra(ing )itle:)itle:-
es gn p
Connection No:
osop y:
Beam $pl!e$ are de$!gned for #$e !n #nt!on to&er$) +he $pl!e !$ de$!gned for f#ll $trength of the mem"er) Ba$ed on the #$e of the "eam , $pl!e !$ de$!gned for 2(0 of flex#ral $trength and reman!ng *(0 !$ ax!al $trength)
DESIGN OF OF SPLICE FOR BEAM BEAM :
UB457!"!#7
Reference S
UB 457x191x67
Properties : Grade of Steel
E$5%
!eld Stength, f
=
$5%
3mm*
Overall Depth, h
=
45&'4
mm
Flange !dth, " e" +h!-ne$$, t &
=
!("'"
mm
=
('5
mm
Flange +h!-ne$$, t f
=
!$'7
mm
root rad!#$
=
!%'$
mm
%rea, %g Set!on 8od#l#$, xx
=
(5'5
m*
!$"#
m
Depth "et&een f!llet$'
=
4%7'#
mm
1(()((
3mm*
Cl.6.4.2 of IS:
165)((
3mm*
Cl.4.1.1of IS:
%llo&a"le ten$!le $tre$$, $ at
15()((
3mm*
!eld Stength of plate$, f p
*5(
3mm*
+h!-ne$$ of the flange $pl!e plate, t fp
$5
mm
+h!-ne$$ of over plate for &e".+&o $!de$/
!$
mm
%llo&a"le $hear Stre$$, t va %llo&a"le "end!ng $tre$$,
Design Forces :
s
"t
CALCULATION SHEET Sheet No: Calculation !:-
MADHU KUMAR
Chec"e# $! :
%ro&ect Na'e.:-
NTPC - RAMAGUNDAM
%ro&ect No.:
Dra(ing No. :-
TP37
Date :
Dra(ing )itle:-
De$!gn 8oment,
Connection No:
8d
. 2(0 $trength/
171)(7
:3m
*56)5(
-3
Depth of $et!on , D
45)4(
mm
%rea of flange, %f
*4)1*
m*
%rea of &e" , %&
7)*7
m*
%x!al fore !n flange, ;+
5!#'4&
:3
Shear Fore !n &e" , F
&7$'#5
:3
De$!gn %x!al fore .ompre$$!onten$!on/, . *( 0 $trength/
M d = .<"t x
CALCULATION SHEET Sheet No: Calculation !:-
MADHU KUMAR
Chec"e# $! :
%ro&ect Na'e.:-
NTPC - RAMAGUNDAM
%ro&ect No.:
Dra(ing No. :-
TP37
Date :
Dra(ing )itle:-
Connection No:
Design check for Flange Splice : Bolt properties : Grade of Bolt
('( g)'
D!ameter of Bolt, d D!ameter of Cole, d o
%$mm
**)((
mm
8ax) >erm!$$!"le $hear !n Bolt, o"
5()2(
:3
>rov!de G#age D!$tane
!&%
mm
8!n!m#m edge d!$tane re?#!red
*
mm
>rov!ded @dge d!$tane of hole, e
&5
mm
Ae?#!red >!th of the hole, p
5(
mm
>rov!ded p!th
5%
mm
Table2 of IS:
Bolt Distances :
Table 8.2 of I
Cl. 8.10.1.a o
Bolt Capacity : Flange plate prov!ded on one $!de"oth $!de$
!
;apa!t of Bolt !n Shear, "
5()2(
:3
>er) Bear!ng fore "et&een "olt and pl, F"
76)*(
-3
F " =
1)* x
>er) Fore at!ng on edge of >l, > t
79)2
-3
Cl. 5.3.4 of IS P t = e x
Bolt ;apa!t, F"
5()2(
:3
Min. of V ", F"
3o) of Bolt$, n
11
3o)$
No. of Bol! "
3o) of Bolt$ >rov!ded
!$
3o$)
3o) of Bolt ;ol#mn$, 3
$
3o)
ength of plate
525
mm
CALCULATION SHEET Sheet No: Calculation !:-
MADHU KUMAR
Chec"e# $! :
%ro&ect Na'e.:-
NTPC - RAMAGUNDAM
%ro&ect No.:
Dra(ing No. :-
TP37
Date :
Dra(ing )itle:-
Connection No:
Tension in Flange Splice : Out Side Plate : !dth of $pl!e plate
!"%
mm
@ffet!ve &!dth
145)9(
mm
@ffet!ve area of $pl!e
642
mm*
+en$!on ;apa!t of plate
547)1
-3
Inside Plate : !dth of $pl!e plate @ffet!ve &!dth @ffet!ve area of $pl!e +en$!on ;apa!t of plate
% E44)(( E11(()(( ()((
mm
+otal +en$!on ;apa!t of plate
547)1
-3
Design check for We Splice : Bolt force calculation:
mm mm* -3 *en+e S,-
FV
, Y FMS
FS FMV
X
CALCULATION SHEET Sheet No: Calculation !:-
MADHU KUMAR
Chec"e# $! :
%ro&ect Na'e.:-
NTPC - RAMAGUNDAM
%ro&ect No.:
Dra(ing No. :-
TP37
Date :
Dra(ing )itle:-
Connection No:
0 ''
!2
100 ''
e1
+2. ''
!*
10 ''
e2
32. ''
!+
0 ''
e
32. ''
!
0 ''
!,
0 ''
4$ econ# 'o'ent of area of $olt grou5 4$ N$ 6 9 + !1 9 !2 9 !* 9 !+ 9 ! 9 !, ; ''2
4$1 17000
<( =v e
*++70 >n-''
='h <( / 4$
23.
"N
='v <( / 4$
3.8
"N
='$ =v/no.$olt
2,.,
"N
*. ?@C)OR4AB S< O= )@ =ORC@S ON O)@R ROE O= OB)S = SFR) 6 ='h9=h$ 9 6 =v$9='v ; Fs =
47 Kn
S!ngle ro& "olt$ G$
170.0
''2
='h
13.7
#N
Fs =
33 Kn
=orce in the $oltH =
*en+e S,-
47 Kn
e" plate prov!ded on one $!de"oth $!de$
$
;apa!t of Bolt !n Shear, "
1(1)6(
:3
>er) Bear!ng fore "et&een "olt and pl, F"
51)((
-3
F " =
1)* x
>er) Fore at!ng on edge of >l, > t
5)1
-3
Cl. 5.3.4 of IS P t = e x
Bolt ;apa!t, F"
51)((
:3
Min. of V ", F"
3o) of Bolt$, n
2
3o)$
No. of Bol! "
3o) of Bolt$ >rov!ded
CALCULATION SHEET Sheet No: Calculation !:-
MADHU KUMAR
Chec"e# $! :
%ro&ect Na'e.:-
NTPC - RAMAGUNDAM
%ro&ect No.:
Dra(ing No. :-
TP37
Date :
Dra(ing )itle:-
Connection No:
D!$tane "et&een "olt ol#mn$
5%
mm
Depth of plate
7(
mm
*en+e S,-
&7%
mm
$en%e Safe
We plates shear capacity Depth of $pl!e plate +h!-ne$$ of over plate$
!$'%%
3o) of over plate$
$'%%
@ffet!ve &!dth
*16
mm
@ffet!ve area of $pl!e
5124
mm*
Shear ;apa!t of plate
512)4(
-3
*en+e S,-
CRM 25194 21/1/27 CS!2
etch :
800-1984
800-1984
161 2()5
CRM 25194 21/1/27 CS!2
/
xx
CRM 25194 21/1/27 CS!2
000-1992
S:800-1984
f IS:800-1984
f x d x t
:4000-1992
t 1)4 an Fe F t
F"
CRM 25194 21/1/27 CS!2
e
CRM 25194 21/1/27 CS!2
e
x
xt
:4000-1992
t 1)4 an Fe F t
F"
CRM 25194 21/1/27 CS!2
e
e
1
2
*
+
,
7
8
Un"#$%s&' ($&)s *+ (S4 P&%*1 1993 - D")$ns"+ns , P%+$%*"$s Deignation
101,*0+87 101,*0+*7 101,*0*3* 101,*0*+3 101,*0*1+ 101,*0272 101,*02+3 101,*0222 31++13*88 31++13*+* 31+*0283 31+*02* 31+*022+ 31+*0201 8*823222, 8*823213+ 8*823217, 7,22,7137 7,22,717* 7,22,71+7 7,22,71*+ ,8,2+170 ,8,2+12 ,8,2+1+0 ,8,2+12 ,10*02*8 ,10*0173 ,10*01+3 ,102231+0 ,1022312 ,1022311* ,10223101 **210122 **210103 **210101 **21032 **21082 +713138 +713183 +713182 +71317+ +7131,7 +71282 +7127+
)hic"ne
De5th of ection
Ei#th of ection
Ee$
h
$
"g/' +8,., +*,.3 *32.7 *+3.+ *1+.* 272.* 2+8.7 222 *88 *+*.* 283.1 2*.+ 22+.2 200.3 22,. 13*.8 17.3 13,.8 17* 1+,.3 1**.3 170.2 12.+ 1+0.1 12.2 2*8.1 173 1+3.2 1*3.3 12.1 11* 101.2 122 103 101 32.1+ 82.2 38.* 83.* 82 7+.* ,7.1 82.1 7+.2
'' 10*,.1 102.3 101, 1008.1 1000 330.1 380.2 370.* 321 311.8 32,., 318.+ 310.+ 30* 80.3 8+0.7 8*+.3 7,3.8 7,2.2 7+ 70 ,32.3 ,87. ,8*. ,77.3 ,*.8 ,20.2 ,12.+ ,17.2 ,12.2 ,07., ,02., ++. *3. *,.7 **.1 28.* +,7.2 +,*.+ +,0 +7 +*.+ +,.8 +,2
'' *08. *0.+ *0* *02 *00 *00 *00 *00 +20. +18. *07.7 *0. *0+.1 *0*.* 23*.8 232.+ 231.7 2,8 2,,.7 2,.2 2,+.+ 2.8 2+. 2*.7 2* *11.+ *07.1 *0+.8 2*0.2 223 228.2 227., 211.3 210.8 210 203.* 208.8 132.8 131.3 131.* 130.+ 183.3 1.* 1+.+
'' *0 2,.3 2+.+ 21.1 13.1 1,. 1,. 1, 21.+ 13.+ 13. 17.* 1.3 1.1 1,.1 1+.7 1+ 1., 1+.* 12.8 12 1+. 1*.2 12.+ 11.7 18.+ 1+.1 11.8 1*.1 11.3 11.1 10. 12.7 11., 10.8 10.1 3., 11.+ 10. 3.3 3 8. 10. 3.,
=lange
Root ra#iu
De5th $et(een fillet
t
r
#
'' +.1 +3 +*.3 +0 *.3 *1 2, 21.1 *,., *2 *2 27.3 2*.3 20.2 2,.8 21.7 18.8 2.+ 21., 17. 1. 2*.7 21 13 1,.2 *1.+ 2*., 13.7 22.1 13., 17.* 1+.8 21.* 18.8 17.+ 1., 1*.2 13., 17.7 1, 1+. 12.7 18.3 17
'' *0 *0 *0 *0 *0 *0 *0 *0 2+.1 2+.1 13.1 13.1 13.1 13.1 17.8 17.8 17.8 1,. 1,. 1,. 1,. 1.2 1.2 1.2 1.2 1,. 1,. 1,. 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 12.7 10.2 10.2 10.2 10.2 10.2 10.2 10.2
'' 8,7.3 8,7.3 8,8.2 8,8.1 8,8.2 8,8.1 8,8.2 8,8.1 733., 733., 82+.+ 82+.+ 82+.+ 82+.+ 7,1.7 7,1.7 7,1.7 ,8, ,8, ,8, ,8, ,1.1 ,1.1 ,1.1 ,1.1 +0 +0 +0 +7., +7., +7., +7., +7,. +7,. +7,. +7,. +7,. +07., +07., +07., +07., +07., +07., +07.,
+712,7 +712,0 +7122 +0,1787+ +0,178,7 +0,178,0 +0,178+ +0,1+0+, +0,1+0*3 *,171,7 *,1717 *,1711 *,171+ *,127*3 *,127** *01,+ *01,+, *01,+0 *0127+8 *0127+2 *0127*7 *0102** *010228 *01022 2+1+,+* 2+1+,*7 2+1+,*1 2+10228 2+1022 2+10222 20*1***0 20*1**2 20*1022* 17810213 12831, 1277,1*
,7.2 3.8 2.* 7+.2 ,7.1 ,0.1 +.1 +, *3 ,7.1 7 1 + *3.1 **.1 + +,.1 +0.* +8.1 +1.3 *7 *2.8 28.2 2+.8 +* *7 *1.1 28.* 2.2 22 *0 2.1 2*.1 13 1, 1*
+8 ++., ++3.8 +12.8 +03.+ +0,.+ +02., +0*.2 *38 *,*.+ *8 * *1.+ **.+ *+3 *10.+ *0,., *0*.+ *11 *07.2 *0+.+ *12.7 *08.7 *0.1 23., 2, 21.+ 2,0.+ 27.2 2+ 20,.8 20*.2 20*.2 177.8 12.+ 127
1*.8 12.3 12.+ 173. 178.8 177.3 177.7 1+2.2 1+1.8 17*.2 172.2 171. 171.1 12, 12.+ 1,,.3 1,.7 1, 12.* 12+.* 12*.+ 102.+ 101.8 101., 1+7.* 1+,.+ 1+,.1 102.2 101.3 101., 1**.3 1**.2 101.8 101.2 88.7 7,
3 8.1 7., 3. 8.8 7.3 7.7 ,.8 ,.+ 3.1 8.1 7.+ 7 ,., , 7.3 ,.7 , 3 8 7.1 ,., , .8 7.2 ,.* , ,.* , .7 ,.+ .7 .+ +.8 +. +
1 1*.* 10.3 1, 1+.* 12.8 10.3 11.2 8., 1.7 1* 11. 3.7 10.7 8. 1*.7 11.8 10.2 1+ 12.1 10.7 10.8 8.8 7 12.7 10.3 8., 10 8.+ ,.8 3., 7.8 3.* 7.3 7.7 7.,
10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 8.3 8.3 8.3 8.3 8.3 8.3 7., 7., 7., 7., 7., 7., 7., 7., 7., 7., 7., 7., 7., 7., 7.,
+07., +07., +07., *,0.+ *,0.+ *,0.+ *,0.+ *,0.+ *,0.+ *11., *11., *11., *11., *11., *11., 2,.2 2,.2 2,.2 2,.2 2,.2 2,.2 27.3 27.3 27.3 213 213 213 22.2 22.2 22.2 172.+ 172.+ 1,3.+ 1+,.8 121.8 3,.,
3
10
Ratio for Bocal uc"ling =lange Ee$ $/2t
#/
2.8 *.12 *.+ *.77 +.18 +.8+ .77 7.11 .7+ ,.+ +.81 .+7 ,.*, 7.1 .+8 ,.7+ 7.7, .28 ,.17 7.8 8.* .+ ,.0, ,.,8 7.81 +.3, ,.1 7.7+ .21 .8+ ,., 7.,3 +.37 .,1 ,.0* ,.71 7.31 +.32 .+2 .38 ,.7 7.+8 +.11 +.+
28.3 *2.* *., +1.1 +. 2., 2., +.* *7.+ +1.2 +2.* +7.7 1.8 +., +7.* 1.8 +.+ ++ +8 *., 7.2 +2.+ +,., +3., 2., 23.* *8.* +.8 +1.8 +, +3.* 2.2 *7. +1.1 ++.1 +7.2 +3., *.8 *8.8 +1.2 +.* +8 *8.8 +2.
11
12
Secon#
c'+ 2,720 2*+0 2000 18+,0 1,2*0 1+000 1170 3+, +++0 *31,0 1,00 1**00 112+0 3+2* 11*,0 30,, 7733 817 ,80 + +788 ,,*0 78+ 18* +*8* 18+0 11+10 3*08 +0 *3*2 *+*+ 231 **88 23+* 2,32 2*83 2007 2*+7 2083 1871 1,71 1+2 118 10+7
1*
1+
Ra#iu of I!ration Ai -
Ai !-!
r
r !
c' +0., +0.+ +0.2 +0.* +0.1 +0 *3 *8 *8.2 *7.8 *7 *,.8 *,.* *.7 *+.* **., **.1 *0.3 *0. *0 23.7 28 27.8 27., 27.2 2,.* 2.3 2.7 2 2+.3 2+., 2+.2 22.1 21.3 21.3 21.7 21.* 13.1 13 18.8 18.8 18. 18.7 18.,
c' ,.7 ,.+3 ,.+ ,.++ ,.*7 ,.* ,.03 .81 3.3 3.+, ,.1 ,.+2 ,.27 ,.07 ,.27 ,.0, .3 .71 .8 .+ .* .* .+, .*3 .2+ 7.2* 7.07 7 .0* +.37 +.88 +.7 +.,7 +., +.7 +.1 +.*8 +.** +.23 +.2* +.2 +.12 *.*7 *.**
1
1,
@latic
c'* 17*2 1* 1** 122* 1082 3*+ 78+ ,*, 21,1 1871 101+ 871 7*3 ,21 77* ,20 * ,10 1+ +11 *,2 18 + +03 *+, 1017 7+* ,11 *31 *+* *01 2, *20 273 2, 228 132 2+* 218 13, 17, 1* 1* 1*,
17
18
%latic
c'* 2800 2+,3 21,8 13+1 171* 1+70 12+ 1020 **+1 2830 1,01 1*71 11,* 382 1212 37+ 8+2 33 807 ,+7 70 811 710 ,*8 +2 17+ 11++ 3*7 ,11 * +,3 +00 00 +*, *33 *, *00 *73 **8 *0+ 272 2*7 2+0 21*
.1* .7 ,.33 .,1 ,.2 ,.3 8.1 ,.* 8.2+ .2 ,.,2 7.+, 8.82 .83 7.*8 ,.03 7.02 8.03 +.+7 .1+ .77 +.7+ .78 7.2, .8 ,.72 8.+3 .11 ,.07 7.+7 ,.37 8.+ .+7 ,.+1 .7,
+.* 0.* *., *7.3 +1 +., +,.8 * ,.* *+.2 *8. +2.1 ++. +7.2 1.3 **., *3., ++.2 23. **.1 *7.+ +1.8 +, +7., *0.+ *+.8 *,. *.7 *7. *3. 2,.3 *0.2 *1.+ *0., 27.1 2+.1
283*0 200 21*70 27*10 2+**0 21,00 18720 1,30 1210 13+,0 1,0+0 1+1+0 12070 10170 82+3 11700 3833 80* 37 813, 7171 ,01 *,, ++ ,++ *7 ++1* +00 *+1 28+1 283, 2*+0 210 1*, 8*+ +7*
31* 73 ,+ 1+ 1*, 120* 1021 *8 +10 1*,2 1108 3,8 811 *8 280 10,* 83, 7,+ +,1 *83 **, 13+ 1 12* ,77 71 ++8 173 1+3 113 *8 *08 1,+ 1*7 83.8 .7
18.+ 18.* 17.3 17 1,.3 1,.8 1,. 1,.+ 1.3 1.1 1+.3 1+.8 1+. 1+.* 1+ 1* 1* 12.3 12. 12.+ 12.* 12. 12.2 11.3 10.3 10.8 10. 10. 10.* 10.1 8.71 8., 8.+, 7.+8 ,.+1 .*
*.27 *.2* *.11 +.0+ *.33 *.37 *.8 *.0* 2.87 *.33 *.31 *.8, *.7, 2.,8 2.8 *.3* *.3 *.8, 2.7+ 2.7 2.,7 2.1 2.08 1.37 *.2 *.+8 *.*, 2.22 2.1 2.0, *.17 *.1 2.*, 2.*7 2.1 1.8+
12,* 1122 30 1*2* 1183 10,* 3*0 778 ,23 1071 83, 73, ,87 7, +7* 7+ ,+, ,0 ,1, *+ +71 +1, *+8 232 0+ +** *1 *08 2,, 22+ 280 2*0 207 1* 103 7+.,
113 10+ 8+., 172 1* 1* 11 7.7 7.8 17 123 11* 3+.8 ,.8 ++.7 127 108 32., 7*., ,2., +. *7.3 *0. 2+.2 32 78 ,1.* *+.3 23.2 2*. 7. +,.2 *2.2 27 20.2 1+.7
1+* 1287 103, 101 1*+, 1133 10 888 72+ 1211 1010 83, 77 ,3 +* 8+, 720 ,2* 711 ,1+ *3 +81 +0* *+2 ,, +8* *3* ** *0, 23 *1+ 28 2*+ 171 12* 8+.2
187 1,* 1** 2,7 2*7 203 178 118 30.8 2+* 133 17+ 1+7 83.1 70.* 13, 1,, 1+2 11, 38.+ 8.+ ,0 +8. *8.8 1+1 113 3+.1 +.8 +, *7.* 88.2 70.3 +3.8 +1., *1.2 22.,
13
20
uc"ling )orional %ara'ete 4n#e r u 0.8,7 0.8,8 0.8,8 0.872 0.872 0.87* 0.8,1 0.8 0.88 0.88* 0.8,7 0.8,, 0.8,1 0.8+ 0.87 0.8,2 0.8, 0.8,3 0.8,+ 0.88 0.8+ 0.872 0.871 0.8,8 0.8,2 0.88, 0.88, 0.88, 0.87 0.87* 0.87 0.8,+ 0.877 0.87 0.87+ 0.872 0.8,+ 0.881 0.88 0.877 0.877 0.872 0.87* 0.87*
21.1 2*.1 2. 27.3 *0.7 * *3.3 +.7 2,.7 *0.1 *1.3 *,.2 +1.* +,.8 * +1., +,. **.2 *8.1 +.2 +3.8 *1.8 *. *8.7 +*.3 21.* 27.7 *2.7 *0., *+.1 *8 +*.1 27., *0.3 **.2 *,. +1., 2.7 28.* *0.3 **.3 *7.3 27.+ *0.1
21
22
2*
Ear5ing Contant
)orional Contant
Area of ection
J
A
#', ,+.+ .3 +8.+ +*.* *7.7 *2.2 2,.8 21. 88.3 7.8 *1.2 2,.+ 22.1 18.+ 13.* 1.2 1* 11.* 3.*3 7.+ ,.+, 7.+2 ,.+2 .72 +.8 1+. 10.2 8.17 *.33 *.+ 2.33 2.2 2.*2 1.33 1.81 1., 1.** 1.18 1.0+ 0.322 0.818 0.70 0.31 0.18
c'+ +233 *18 2**0 1718 12,+ 8* 82 *30 17*+ 113* 32, ,2, +22 231 1+ *0, 221 +0+ 2,7 13 113 *08 220 1,3 11, 78 *+0 200 21, 1+ 111 77 178 12, 101 7.7 1. 121 30.7 ,3.2 1.8 *7.1 83.2 ,.3
c'2 ,20 7 00 ++ +00 *+7 *17 28* +3+ +*7 *,8 *2* 28, 2, 283 2+7 22+ 21 220 187 171 217 13+ 178 13 *0* 228 130 178 13 1++ 123 1 1*3 123 117 10 12 11+ 10+ 3+., 8. 10 3+.
0.8,3 0.8,8 0.83 0.882 0.88 0.88 0.871 0.871 0.88 0.88, 0.882 0.881 0.87+ 0.871 0.8,* 0.883 0.831 0.883 0.87* 0.872 0.872 0.8,, 0.83 0.8+, 0.831 0.83 0.88 0.87+ 0.8,, 0.8, 0.881 0.877 0.888 0.888 0.83 0.83
**., *7. +*.3 27., *0. **.8 *8.* *8.3 +7. 2+.+ 28.8 *2.1 *,.8 *.2 +2.2 2*., 27.1 *1 2*.* 2,. 23.7 *1., *7.+ +*.+ 21.2 2+.* 23., 27. *1. *,.+ 21. 2., 22. 22., 13., 1,.*
0.++8 0.*87 0.*11 0.,08 0.** 0.+,, 0.*32 0.207 0.1 0.+12 0.** 0.28, 0.2*7 0.10 0.081 0.2*+ 0.13 0.1,+ 0.102 0.08 0.072 0.0++ 0.0* 0.027 0.10* 0.08, 0.0,, 0.028 0.02* 0.018 0.0*7 0.023 0.01 0.01 0.00 0.002
+7.7 **.8 21.+ ,2.8 +,.1 **.* 2*.1 13 10.7 .7 **.+ 2*.8 1.8 1.1 8.73 *+.8 22.2 1+.7 *1.8 21.1 1+.8 12.2 7.+ +.77 2*.3 1.* 8. 3.7 ,.+2 +.1 10.* .3, 7.02 +.+1 *., 2.8
8., 7,.2 ,,., 3+. 8. 7,. ,3 8., +3.7 8. 72., ,+.3 7.* +3.8 +2.1 ,8.8 8.7 1.* ,1.2 *.+ +7.2 +1.8 *.3 *1., +.8 +7.2 *3.7 *,.1 *2 28 *8.2 *2 23.+ 2+.* 20.* 1,.
